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Finding the Fourth Proportional to 31,646.71, 43,672.34 and 17,847.94

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Solution

The fourth proportional to 31,646.71, 43,672.34 and 17,847.94 is: 24,630.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,646.71 : 43,672.34 = 17,847.94 : x
  2. Step 2: Convert to fraction form
    31,646.71/43,672.34 = 17,847.94/x
  3. Step 3: Cross multiply
    31,646.71x = 43,672.34 × 17,847.94
  4. Step 4: Simplify right side
    31,646.71x = 779,461,214.74
  5. Step 5: Solve for x
    x = 779,461,214.74/31,646.71
  6. Step 6: Final answer
    x = 24,630.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.